Question

6. Calculaţi 1*√2*√3*...*√10.

Answer 1

$\sqrt{1} \times \sqrt{2} \times \sqrt{3} \times ... \times \sqrt{10} = \sqrt{10!} \\ = \sqrt{1 \times 2 \times ... \times 10} = \sqrt{3628800} \\ = 10\sqrt{36288} = 10 \sqrt{5184 \times 7} \\= 10 \sqrt{72 {}^{2} \times 7 } \\ = 720 \sqrt{7}$

daca te intereseaza valoarea aproximativa:

1904.9409439665052251611